∫ 1 2 y + 5 y 7 y 3 d y = ∫ 1 2 ( y y 3 + 5 y 7 y 3 ) d y ∫ 1 2 ( y − 2 + 5 y 4 ) {\displaystyle {\begin{aligned}\int _{1}^{2}{\frac {y+5y^{7}}{y^{3}}}dy&=\int _{1}^{2}\left({\frac {y}{y^{3}}}+{\frac {5y^{7}}{y^{3}}}\right)dy\int _{1}^{2}(y^{-2}+5y^{4})\\[2ex]\end{aligned}}}
![{\displaystyle {\begin{aligned}\int _{1}^{2}{\frac {y+5y^{7}}{y^{3}}}dy&=\int _{1}^{2}\left({\frac {y}{y^{3}}}+{\frac {5y^{7}}{y^{3}}}\right)dy\int _{1}^{2}(y^{-2}+5y^{4})\\[2ex]\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/fa8b13cc7a3cdf16025ec0418e09dd6465d1167a)